5385472 has 36 divisors (see below), whose sum is σ = 10904740. Its totient is φ = 2654208.

The previous prime is 5385469. The next prime is 5385487. The reversal of 5385472 is 2745835.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 2876416 = 1584^2 + 1696^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 5² + 3¹⁴ + 8⁶ + 5⁷ + 4² + 7² + 2¹⁸ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27808 + ... + 28000.

Almost surely, 2^5385472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452370).

5385472 is an abundant number, since it is smaller than the sum of its proper divisors (5519268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5385472 is a wasteful number, since it uses less digits than its factorization.

5385472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 5385472 is about 2320.6619745236. The cubic root of 5385472 is about 175.2835891724.

The spelling of 5385472 in words is "five million, three hundred eighty-five thousand, four hundred seventy-two".